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Three 30-minute programmes which investigate the mysteries surrounding prime numbers. Primes are fundamental to mathematics; they are the basic blocks from which all other numbers can be built. Yet they...
Evariste Galois, the pioneer of group theory, died in 1832 at age 20 following a politically inspired duel. It took a further 14 years for the mathematical world to understand the implication of his...
Explores the mathematical concept of a vector space, and relates it to the apparently diverse topics of map references, architectural plans, virtual reality software, satellite rotations, and the analysis of...
The collapse of the Tacoma Narrows bridge in the 1940s, the destruction of cooling towers at the Ferrybridge Power Station and the loss of two Lockheed Electra aircraft in the 1950s were all caused by a...
Investigates the idea of isomorphism in group theory, and shows how two groups may really be the same, even though they look totally different at first sight. Shows how a Scottish country dance for four...
Looks at the world of conics and their reflection properties. There are three conics: the ellipse, the parabloa and the hyperbola. Conics have very real properties that are useful to people as diverse as...
Investigates the idea of symmetry of three-dimensional objects and develops a strategy for counting the symmetries of the five so-called ‘Platonic solids’. This strategy is used to check the results for...
An overview of some uses for linear transformations, rotations in particular, and how they rely on matrix manipulation. Case studies include IKEA kitchens, news graphics and RAF cockpit research.
In 1963, schoolboy Andrew Wiles decided to solved the world’s most famous mathematical problem, Fermat’s last theorem, that had been baffling mathematicians for over 300 years. Thirty years later he saw...
Introduces the idea of affine geometry and looks at different aspects of it use. In three sections: 1: Introduces two theorems about ellipses - the midpoint theorem and the conjugate diameters theorem. Shows...
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